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Finding the Fourth Proportional to 10,714.53, 16,074.08 and 5,450.27

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Solution

The fourth proportional to 10,714.53, 16,074.08 and 5,450.27 is: 8,176.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.53 : 16,074.08 = 5,450.27 : x
  2. Step 2: Convert to fraction form
    10,714.53/16,074.08 = 5,450.27/x
  3. Step 3: Cross multiply
    10,714.53x = 16,074.08 × 5,450.27
  4. Step 4: Simplify right side
    10,714.53x = 87,608,049.44
  5. Step 5: Solve for x
    x = 87,608,049.44/10,714.53
  6. Step 6: Final answer
    x = 8,176.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.